KUWABARA Toshiro
- Affiliation
- Institute of Pure and Applied Sciences
- Official title
- Associate Professor
- Sex
- Male
- G$.0xyx+x<KG&x-!E-,.$.yxExzE#)
- Research fields
Basic analysis Algebra - Research keywords
表現論 超局所解析 有理チェレドニック代数 変形量子化 箙多様体 共形場理論 頂点代数 頂点作用素代数 代数解析 数理物理 - Research projects
シンプレクティック特異点解消のジェット束の量子化とその表現論 2021-04 -- 2026-03 KUWABARA Toshiro Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C) 3,900,000Yen Vertex algebras as deformation quantization of jet bundles 2017-04 -- 2021-03 KUWABARA Toshiro JSPS/Grant-in-Aid for Young Scientists (B) 4,290,000Yen - Career history
2014-04 -- 2015-10 National Research University Higher School of EconomicsInternational Laboratory of Representation Theory and Mathematical PhysicsResearch Fellow 2011-11 -- 2015-10 National Research University Higher School of EconomicsFaculty of MathematicsAssociate Professor 2011-06 -- 2011-10 Seoul National UniversityDepartment of Mathematical SciencePostdoctoral Researcher 2011-02 -- 2011-05 Max-Plank Institute for MathematicsGuest Researcher 2010-10 -- 2011-02 Seoul National UniversityDepartment of Mathematical SciencePostdoctoral Researcher 2010-04 -- 2010-09 京都大学数理解析研究所研究員（グローバルＣＯＥ） 2008-06 -- 2010-03 京都大学数理解析研究所研究員（研究機関） 2008-04 -- 2008-07 京都大学大学院理学研究科教務補佐員 - Academic background
2004-04 -- 2008-03 京都大学 大学院理学研究科 数学・数理解析専攻 2002-04 -- 2004-03 京都大学 大学院理学研究科 数学・数理解析専攻 1998-04 -- 2002-03 京都大学 理学部 - Degree
2008-03 博士（理学） 京都大学 2004-03 修士（理学） 京都大学 - Academic societies
2004-09 -- (current) The Mathematical Society of Japan - Articles
- Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with N=4 Symmetry
Arakawa Tomoyuki; KUWABARA Toshiro; Möller Sven
arXiv preprint/arXiv:2309.17308, 2023-09 - ON THE MACKEY FORMULAS FOR CYCLOTOMIC HECKE ALGEBRAS AND CATEGORIES O OF RATIONAL CHEREDNIK ALGEBRAS
Kuwabara Toshiro; Miyachi Hyohe; Wada Kentaro
Osaka Journal of Mathematics/58(1)/pp.103-134, 2021-01 - Vertex Algebras Associated with Hypertoric Varieties
Kuwabara Toshiro
International Mathematics Research Notices/2021(18)/pp.14316-14378, 2020-02 - Strong generators of the subregular W-algebra WK−N(slN,fsub) and combinatorial description at critical level
Genra Naoki; Kuwabara Toshiro
LETTERS IN MATHEMATICAL PHYSICS/110(1)/pp.21-41, 2020-01 - Strong generators of the subregular W-algebra and combinatorial description at critical level
Kuwabara Toshiro; Genra Naoki
arXiv preprint, 2018-11 - 量子ハミルトン簡約とその頂点代数類似
Kuwabara Toshiro
第3回 Algebraic Lie Theory and Representation Theory 報告集/3/pp.168-178, 2017-11 - On the Mackey formulas for cyclotomic Hecke algebras and categories O of rational Cherednik algebras
Toshiro Kuwabara; Hyohe Miyachi; Kentaro Wada
arXiv preprint, 2018-01 - Vertex algebras associated with hypertoric varieties
Kuwabara Toshiro
arXiv preprint/pp.1-30, 2017-06 - シンプレクティック多様体上のジェット束の変形量子化と頂点代数
桑原 敏郎
日本数学会2015年度秋季総合分科会 無限可積分系セッション アブストラクト集, 2015-09 - Localization of affine W-algebras
Arakawa Tomoyuki; Kuwabara Toshiro; Malikov Fyodor
Communications in Mathematical Physics/335(1)/pp.143-182, 2015-04 - BRST cohomologies for symplectic reflection algebras and quantizations of hypertoric varieties
Kuwabara Toshiro
TRANSFORMATION GROUPS/20(2)/pp.437-461, 2015-06 - Representation theory of rational Cherednik algebras of type Z/lZ via microlocal analysis
Kuwabara Toshiro
Publ. Res. Inst. Math. Sci./49(1)/pp.87-110, 2013-01 - On deformation quantizations of hypertoric varieties
Kuwabara Toshiro; Gwyn Bellamy
Pacific J. Math./260(1), 2012-01 - Characteristic cycles of standard modules for the rational Cherednik algebra of type Z/lZ
Kuwabara Toshiro
J. Math. Kyoto Univ./48(1)/pp.167-217, 2008-01 - Symmetric coinvariant algebras and local Weyl modules at a double point
Kuwabara Toshiro
J. Algebra/295(2)/pp.426-440, 2006-01
- Hilbert Schemes of Points in the Plane and Quasi-Lisse Vertex Algebras with N=4 Symmetry
- Conference, etc.
- Vertex operator superalgebra arising from the Hilbert scheme of points on the complex plane
KUWABARA Toshiro
Conference on Algebraic Representation Theory (CART) 2024/2024-12-06--2024-12-08 - シンプレクティック特異点解消に付随する頂点代数
桑原 敏郎
日本数学会秋季総合分科会 (企画特別講演)/2024-09-03--2024-09-06 - Vertex superalgebras associated with Hilbert schemes of points in the plane
桑原 敏郎
表現論の組合せ論的側面とその周辺/2023-10-23--2023-10-27 - Sheaves of SVOA over Hilbert Scheme of N Points and N=4 SVOA
Kuwabara Toshiro
Conference in finite groups and vertex algebras/2022-12-19--2022-12-22 - グラスマン多様体上の変形カイラル微分作用素の層とA型アフィンリー代数
桑原 敏郎
東北大学大学院数学談話会/2020-01-20--2020-01-20 - quantization of toric hyperkahler varieties and its chiralization
Kuwabara Toshiro
Workshop: Vertex Operator Algebras and Related Topics in Kumamoto/2020-02-10--2020-02-14 - Deformed TCDO over Grassmannian and simple affine VOA
Kuwabara Toshiro
Representation Theory of Algebraic Groups and Quantum Groups/2019-10-21--2019-10-25 - Vertex algebras associated with hypertoric varieties
Kuwabara Toshiro
Vertex algebras, factorization algebras and applications/2018-07-17--2018-07-21 - Vertex algebras associated with hypertoric varieties
Kuwabara Toshiro
RIMS Workshop 10th CFT Seminar: A Conference on Vertex Algebras and Related Topics/2018-04-23--2018-04-27 - Vertex algebras associated with hypertoric varieties
Kuwabara Toshiro
Algebraic Lie Theory and Representation Theory (ALTReT) 2017/2017-06-10--2017-06-13 - Deformation-quantization of jet bundles over symplectic manifolds and affine W-algebras
Kuwabara Toshiro
D-modules and Hodge theory/2017-01-23--2017-01-27 - Vertex algebras associated with the Hamiltonian reduction for hypertoric varieties
Kuwabara Toshiro
Geometric Representation Theory/2016-10-10--2016-10-14 - シンプレクティック多様体上の超局所解析と非可換代数
Kuwabara Toshiro
第11回代数・解析・幾何学セミナー/2016-02-15--2016-02-18 - Sheaves of asymptotic chiral differential operators on symplectic res- olutions
Kuwabara Toshiro
Perspectives from vertex algebras/2015-07-21--2015-07-24 - Constructing subregular W-algebras with microlocal differential operators
Kuwabara Toshiro
Workshop on Finite Groups, VOA, and algebraic combinatorics/2016-03-22--2016-03-24 - シンプレクティック多様体上のジェット束の変形量子化と頂点代数
桑原 敏郎
日本数学会2015年度秋季総合分科会/2015-09-13--2015-09-16
- Vertex operator superalgebra arising from the Hilbert scheme of points on the complex plane
- Teaching
2024-04 -- 2024-08 Research in Analysis IIB University of Tsukuba. 2024-04 -- 2024-08 Research in Analysis IB University of Tsukuba. 2024-04 -- 2024-08 Research in Analysis IVB University of Tsukuba. 2024-04 -- 2024-08 Research in Analysis IVA University of Tsukuba. 2024-10 -- 2025-02 Research in Analysis VB University of Tsukuba. 2024-10 -- 2025-02 Research in Analysis IA University of Tsukuba. 2024-04 -- 2024-08 Research in Analysis VA University of Tsukuba. 2024-10 -- 2025-02 Research in Analysis VA University of Tsukuba. 2024-10 -- 2025-02 Research in Analysis IIA University of Tsukuba. 2024-04 -- 2024-08 Seminar on Mathematics University of Tsukuba. more... - Other educational activities
2024-02 -- 2025-03 筑波大学エクステンションプログラム「数学学び直し講座」 筑波大学 2020-01 -- 2020-01 代数解析学特選/代数解析学特論(修)/多様体論特殊講義GIII(博) 東北大学 2017-10 -- 2017-10 滝ノ原教養講座 宇都宮高校 - Professional activities
2023-08 -- 2023-09 日本数学会代数学分科会 代数学シンポジウムプログラム責任者 2016-04 -- 2017-03 日本数学会 地区代議員 - Message
-
シンプレクティック多様体のシンプレクティック構造の変形量子化として得られる超局所微分作用素の層を非可換代数や頂点代数の表現論、数理物理などといった分野に応用する研究をしています。
(Last updated: 2025-05-09)